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Popular >

extreme f(x)=-4(x-1)^{4/7}+8

Solution

extreme points

f (x) = - 4 (x - 1)^{\frac{4}{7}} + 8

Solution

Maximum (1, 8)

Solution steps

f^{'} (x) = - \frac{16}{7 ( x - 1 ) ^{\frac{3}{7}}}

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- 4 (x - 1)^{\frac{4}{7}} + 8 : 8

Maximum (1, 8)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-4(x-1)^{4/7}+8 ?
The extreme f(x)=-4(x-1)^{4/7}+8 is Maximum(1,8)